haiden171717 haiden171717
  • 03-10-2019
  • Mathematics
contestada

What is the value of x in this equation? Enter your answer in the box.​

What is the value of x in this equation Enter your answer in the box class=

Respuesta :

Sarah0404
Sarah0404 Sarah0404
  • 03-10-2019

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for x.

Answer Link
jimrgrant1 jimrgrant1
  • 03-10-2019

Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Consider

10³ × [tex]10^{x}[/tex] = [tex]10^{9}[/tex], then

[tex]10^{3+x}[/tex] = [tex]10^{9}[/tex]

Equating exponents

3 + x = 9 ( subtract 3 from both sides )

x = 6

Answer Link

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